Search a number
-
+
61645056 = 283117297
BaseRepresentation
bin1110101100101…
…0000100000000
311021222220010020
43223022010000
5111240120211
610041133440
71345655124
oct353120400
9137886106
1061645056
1131884930
121878a280
13ca04985
148289584
15562a306
hex3aca100

61645056 has 72 divisors (see below), whose sum is σ = 179005344. Its totient is φ = 18677760.

The previous prime is 61645033. The next prime is 61645061. The reversal of 61645056 is 65054616.

It is a super-2 number, since 2×616450562 = 7600225858486272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4800 + ... + 12096.

Almost surely, 261645056 is an apocalyptic number.

61645056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61645056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89502672).

61645056 is an abundant number, since it is smaller than the sum of its proper divisors (117360288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61645056 is a wasteful number, since it uses less digits than its factorization.

61645056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 61645056 is about 7851.4365564526. The cubic root of 61645056 is about 395.0324301740.

The spelling of 61645056 in words is "sixty-one million, six hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 7297 8448 14594 21891 29188 43782 58376 80267 87564 116752 160534 175128 233504 240801 321068 350256 467008 481602 642136 700512 934016 963204 1284272 1401024 1868032 1926408 2568544 2802048 3852816 5137088 5604096 7705632 10274176 15411264 20548352 30822528 61645056